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Finding the Fourth Proportional to 1,083.06, 1,625.40 and 869.22

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Solution

The fourth proportional to 1,083.06, 1,625.40 and 869.22 is: 1,304.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.06 : 1,625.40 = 869.22 : x
  2. Step 2: Convert to fraction form
    1,083.06/1,625.40 = 869.22/x
  3. Step 3: Cross multiply
    1,083.06x = 1,625.40 × 869.22
  4. Step 4: Simplify right side
    1,083.06x = 1,412,830.19
  5. Step 5: Solve for x
    x = 1,412,830.19/1,083.06
  6. Step 6: Final answer
    x = 1,304.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.